Prime p₀= 2628962715940704989 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 40 2 208 2 100 2 94 2 (?)
a_n: 0 2 60 62 138 140 180 182 390 392 492 494 588 590
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 590
Found by: JayPi
db: batch=82, k=14, 58 76 40 208 100 94

SPT(16)	2628960770698868453	0 18 44 50 56 68 78 84 110 116 126 138 144 150 176 194	-1945241836536
SPT(16)	2628961086115401017	0 2 36 44 50 92 102 134 192 224 234 276 282 290 324 326	-1629825303972
SPT(16)	2628961199410430527	0 10 12 66 76 112 132 184 192 244 264 300 310 364 366 376	-1516530274462
STPT(10)	2628961307481291647	0 2 42 44 72 74 102 104 144 146	-1408459413342
SPT(16)	2628961868012885243	0 24 66 80 90 104 146 186 194 234 276 290 300 314 356 380	-847927819746
SPT(16)	2628962604036086347	0 40 52 54 66 94 112 130 186 204 222 250 262 264 276 316	-111904618642
SPT(16)	2628962779737630071	0 26 32 38 60 66 98 102 116 120 152 158 180 186 192 218	63796925082
STPT(12)	2628963003768270989	0 2 108 110 138 140 180 182 210 212 318 320	287827566000
STPT(10)	2628963008924530247	0 2 54 56 72 74 90 92 144 146	292983825258
STPT(10)	2628963024331124009	0 2 12 14 90 92 168 170 180 182	308390419020
STPT(12)	2628963156132720257	0 2 30 32 54 56 90 92 114 116 144 146	440192015268